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230304132 = 22323724673
BaseRepresentation
bin11011011101000…
…10100110000100
3121001100122212200
431232202212010
5432424213012
634504114500
75464360422
oct1556424604
9531318780
10230304132
111090009a3
1265165a30
1338937846
1422830112
15153433dc
hexdba2984

230304132 has 54 divisors (see below), whose sum is σ = 598444938. Its totient is φ = 74677248.

The previous prime is 230304131. The next prime is 230304161. The reversal of 230304132 is 231403032.

230304132 is a `hidden beast` number, since 230 + 304 + 132 = 666.

230304132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 189778176 + 40525956 = 13776^2 + 6366^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (230304131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 46948 + ... + 51620.

Almost surely, 2230304132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230304132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299222469).

230304132 is an abundant number, since it is smaller than the sum of its proper divisors (368140806).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230304132 is a wasteful number, since it uses less digits than its factorization.

230304132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4757 (or 4715 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 230304132 is about 15175.7745107128. The cubic root of 230304132 is about 612.9625057014.

Adding to 230304132 its reverse (231403032), we get a palindrome (461707164).

The spelling of 230304132 in words is "two hundred thirty million, three hundred four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 1369 2738 4107 4673 5476 8214 9346 12321 14019 16428 18692 24642 28038 42057 49284 56076 84114 168228 172901 345802 518703 691604 1037406 1556109 2074812 3112218 6224436 6397337 12794674 19192011 25589348 38384022 57576033 76768044 115152066 230304132